find all the values of a in the range 0 deg to 360 deg satisfying 2sina = 3cosa
i know its simple but just cant remember how to do it
Hello djmccabie
Yes, you do, but remember that you must make sure that what you're dividing by is not zero. So you need to say:
$\displaystyle 2\sin a = 3\cos a$
$\displaystyle \Rightarrow 2\tan a = 3$, provided $\displaystyle \cos a \ne 0$
Then check that $\displaystyle \cos a = 0$ does not give any valid solutions and proceed with
$\displaystyle \Rightarrow \tan a = 1.5$
Grandad